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Finding the Fourth Proportional to 7,624.81, 11,438.46 and 2,358.60

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Solution

The fourth proportional to 7,624.81, 11,438.46 and 2,358.60 is: 3,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.81 : 11,438.46 = 2,358.60 : x
  2. Step 2: Convert to fraction form
    7,624.81/11,438.46 = 2,358.60/x
  3. Step 3: Cross multiply
    7,624.81x = 11,438.46 × 2,358.60
  4. Step 4: Simplify right side
    7,624.81x = 26,978,751.76
  5. Step 5: Solve for x
    x = 26,978,751.76/7,624.81
  6. Step 6: Final answer
    x = 3,538.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.